Finite Group Databasebeta

← Group #13159405

Character table — Group #13159405

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222233334444444444444444444444444444444444444444444466666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121218181818363636363636545454547272108108
order12223333344666666666666666444433334466666666666612121212121212121212121212121212121212121212121212124412121212121212121212121212121212121212121212121212121212121212121212121212121212121244121212121212121212121212121212121212121212121212888844242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1
χ91-1-11111111-1-11-1-1-1-1-1-1-1-11111-1ii−i−i1111i−i-1-1-1-11111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11i−iiiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-111-1-1i−i11-1-1ii−i−ii−i1-1
χ101-1-11111111-1-11-1-1-1-1-1-1-1-11111-1ii−i−i1111i−i-1-1-1-11111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11i−iiiiiiiii−i−i−i−i−i−i−i−ii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111−ii-1-111−i−iii−ii-11
χ111-1-11111111-1-11-1-1-1-1-1-1-1-11111-1ii−i−i1111−ii-1-1-1-11111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11i−iiiiiiiii−i−i−i−i−i−i−i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-1-1-1-1-11111111111-1-1−ii11-1-1ii−i−i−ii-11
χ121-1-11111111-1-11-1-1-1-1-1-1-1-11111-1ii−i−i1111−ii-1-1-1-11111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11i−iiiiiiiii−i−i−i−i−i−i−i−i−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-111i−i-1-111−i−iiii−i1-1
χ131-1-11111111-1-11-1-1-1-1-1-1-1-11111-1−i−iii1111i−i-1-1-1-11111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11−ii−i−i−i−i−i−i−i−iiiiiiiiii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-1-1-1-1-11111111111-1-1i−i11-1-1−i−iiii−i-11
χ141-1-11111111-1-11-1-1-1-1-1-1-1-11111-1−i−iii1111i−i-1-1-1-11111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11−ii−i−i−i−i−i−i−i−iiiiiiiiii−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-111−ii-1-111ii−i−i−ii1-1
χ151-1-11111111-1-11-1-1-1-1-1-1-1-11111-1−i−iii1111−ii-1-1-1-11111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−ii−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−ii1-1
χ161-1-11111111-1-11-1-1-1-1-1-1-1-11111-1−i−iii1111−ii-1-1-1-11111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−ii−i−i−i−i−i−i−i−iiiiiiiii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-111i−i-1-111ii−i−ii−i-11
χ17222222222-2-22222222222222222222222200222222222222-20000000000000000-2-2-2-2-2-2-2-2-2-2-2222222222222222200-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222222-2-2222222222222222-2-2-2-2222200222222222222-20000000000000000-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-2000000000000000000222222220000000000000000000000000000000000
χ1922222222-122-1-1222222222222-10000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000222222-1-1-1-10000-1-100
χ2022222222-122-1-1222222222222-10000-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-2-2-2111100001100
χ2122222222-122-1-1222222222222-10000-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-100000000000000000011-1-1-1-1-1-1-1-11111111111111111000000000000000000000000002222-2-2-1-1-1-100001100
χ2222222222-122-1-1222222222222-10000-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-100000000000000000011-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000-2-2-2-22211110000-1-100
χ2322222-1-1-1222222-1-1-12-1-1-12-1-1-1222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2422222-1-1-1222222-1-1-12-1-1-12-1-1-1222222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2-2111111-2-21111112-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000
χ2522222-1-1-1222222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-2-2-2-2111111-2-2111111222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111-2111-2-2111111-2-2111111000000000000000000
χ2622222-1-1-1222222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2-2111111-2-21111112-1-1-12-1-1-12-2-2-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111122-2111-211122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2722222-1-1-12-2-2222-1-1-12-1-1-12-1-1-1222222-1-1-1002-1-1-12-1-1-12-1-1-1-200−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2111-2111-2-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ2822222-1-1-12-2-2222-1-1-12-1-1-12-1-1-1222222-1-1-1002-1-1-12-1-1-12-1-1-1-200i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2111-2111-2-2-222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ2922222-1-1-12-2-2222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1002-1-1-12-1-1-12-1-1-1-200−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2111-2111-222-2-2111111-2-211111100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3002-1-1-12-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ3022222-1-1-12-2-2222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1002-1-1-12-1-1-12-1-1-1-200i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2111-2111-222-2-2111111-2-211111100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ312222-12-1-122222-12-1-1-12-1-1-12-1-122222-12-1-122-12-1-1-12-1-1-12-1-12-1-12-1-12-1-1-1-12-1-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ322222-12-1-122222-12-1-1-12-1-1-12-1-122222-12-1-1-2-2-12-1-1-12-1-1-12-1-1211-211-21111-211-211-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-12-1-1-12-1-111-211-21111-211-211-2-2-12-1-1-12-1-111-211-21111-211-211000000000000000000
χ332222-12-1-122222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-122-12-1-1-12-1-1-12-1-12-1-12-1-12-1-1-1-12-1-12-1-1-12-1-1-12-1-12-2-211-2-2111111-2-2111122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-21-2111-21111-211-21111-211-211000000000000000000
χ342222-12-1-122222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-1211-211-21111-211-211-12-1-1-12-1-12-2-211-2-2111111-2-21111-2-2-12-1-1-12-1-111-211-21111-211-211221-2111-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ352222-12-1-12-2-222-12-1-1-12-1-1-12-1-122222-12-1-100-12-1-1-12-1-1-12-1-1-2−i3i30−i3i30−i3i3−i3i30−i3i30−i3i31-2111-211-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ362222-12-1-12-2-222-12-1-1-12-1-1-12-1-122222-12-1-100-12-1-1-12-1-1-12-1-1-2i3−i30i3−i30i3−i3i3−i30i3−i30i3−i31-2111-211-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ372222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-100-12-1-1-12-1-1-12-1-1-2−i3i30−i3i30−i3i3−i3i30−i3i30−i3i31-2111-211-22211-2-2111111-2-21111001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ382222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-100-12-1-1-12-1-1-12-1-1-2i3−i30i3−i30i3−i3i3−i30i3−i30i3−i31-2111-211-22211-2-2111111-2-21111001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ392222-1-12-122222-1-12-1-1-12-1-1-12-122222-1-12-122-1-12-1-1-12-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ402222-1-12-122222-1-12-1-1-12-1-1-12-122222-1-12-1-2-2-1-12-1-1-12-1-1-12-12111-2111-2111-2111-2-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2-2-2-1-12-1-1-12-1111-2111-2111-2111-2000000000000000000
χ412222-1-12-122222-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-122-1-12-1-1-12-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-12-1-12-1-1-12-12-2-21111-2-2111111-2-21122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-2-211-2111-21111-2111-2111-2111-2000000000000000000
χ422222-1-12-122222-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-12111-2111-2111-2111-2-1-12-1-1-12-12-2-21111-2-2111111-2-211-2-2-1-12-1-1-12-1111-2111-2111-2111-22211-2111-21-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ432222-1-12-12-2-222-1-12-1-1-12-1-1-12-122222-1-12-100-1-12-1-1-12-1-1-12-1-2−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3011-2111-21-2-2-2-1-1-1-122-1-1-1-1-1-122-1-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000000000
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χ1544-4-44-2-2-24-2-442-2222-4222-4-2-2-2420000111-200-1-1-12111-2-1-1-12-2−2323−23230230−2323−2323−230−23023222-4-2-2-24200000000000000000000-1-1-12111-23−33−30−303−33−33030−300000000000000000000000000000000000000000000
χ15588-8-88-4-4-4-400-448-4-4-4-8444-844440000-422200-42224-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15688-8-8-48-4-4-400-44-48-4-44-8444-844400002-422002-422-24-2-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-8-4-48-4-400-44-4-48-444-8444-844000022-420022-42-2-24-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-8-4-4-48-400-44-4-4-48444-8444-840000222-400222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-88-88-4-4-4-40044-84448-4-4-4-8444-40000-4222004-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-88-8-48-4-4-400444-844-48-4-44-844-400002-42200-24-2-2-24-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-88-8-4-48-4-4004444-84-4-48-444-84-4000022-4200-2-24-2-2-24-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-8-4-4-48-40044444-8-4-4-48444-8-40000222-400-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).